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Bio-heat regimes in fractal-based models of tumors

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  • Fumeron, Sébastien
  • Henkel, Malte
  • López, Alexander

Abstract

Anomalous heat diffusion is investigated for biological tissues displaying a fractal structure and long-term thermal memory, which is modelled via a temporal fractional derivative. For increasing values of the fractional derivation order, the tissue temperature displays three kinds of bio-heat regimes: damped (or sub-diffusive), critical damping and under-damped oscillations. The temperature profiles depend on the fractal dimension of the tissue but notably also on a parameter related to its topology: the spectral dimension. The parametric analysis reveals that these two parameters have antagonistic effects on the pseudo period of the temperature oscillations and their amplitudes.

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  • Fumeron, Sébastien & Henkel, Malte & López, Alexander, 2025. "Bio-heat regimes in fractal-based models of tumors," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925008161
    DOI: 10.1016/j.chaos.2025.116803
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